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130133123133 = 31341972693119
BaseRepresentation
bin111100100110010001…
…0011110000000111101
3110102220012102121020020
41321030202132000331
54113003034420013
6135440552242353
712254551203306
oct1711442360075
9412805377206
10130133123133
1150209834552
12212793a03b9
13c36b644a10
14642703d7ad
1535b98ac623
hex1e4c89e03d

130133123133 has 64 divisors (see below), whose sum is σ = 194169830400. Its totient is φ = 77011107840.

The previous prime is 130133123123. The next prime is 130133123137. The reversal of 130133123133 is 331321331031.

It is not a de Polignac number, because 130133123133 - 213 = 130133114941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133123137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41721148 + ... + 41724266.

It is an arithmetic number, because the mean of its divisors is an integer number (3033903600).

Almost surely, 2130133123133 is an apocalyptic number.

130133123133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130133123133 is a deficient number, since it is larger than the sum of its proper divisors (64036707267).

130133123133 is a wasteful number, since it uses less digits than its factorization.

130133123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 130133123133 its reverse (331321331031), we get a palindrome (461454454164).

The spelling of 130133123133 in words is "one hundred thirty billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 13 39 41 97 123 269 291 533 807 1261 1599 3119 3497 3783 3977 9357 10491 11029 11931 26093 33087 40547 51701 78279 121641 127879 143377 155103 302543 339209 383637 430131 839011 907629 1017627 1069813 1662427 2517033 3209439 3933059 4987281 10907143 11799177 12404263 13907569 32721429 34399451 37212789 41722707 81384067 103198353 161255419 244152201 447192863 483766257 1057992871 1341578589 3173978613 3336746747 10010240241 43377707711 130133123133